841100198400 has 960 divisors, whose sum is σ = 3849156495360. Its totient is φ = 174768537600.

The previous prime is 841100198381. The next prime is 841100198401. The reversal of 841100198400 is 4891001148.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (841100198401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26595397 + ... + 26627003.

It is an arithmetic number, because the mean of its divisors is an integer number (4009538016).

Almost surely, 2^841100198400 is an apocalyptic number.

841100198400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841100198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924578247680).

841100198400 is an abundant number, since it is smaller than the sum of its proper divisors (3008056296960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

841100198400 is a wasteful number, since it uses less digits than its factorization.

841100198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31662 (or 31635 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 841100198400 its reverse (4891001148), we get a palindrome (845991199548).

The spelling of 841100198400 in words is "eight hundred forty-one billion, one hundred million, one hundred ninety-eight thousand, four hundred".